Market lab / interactiveThe quote
The quote
mirror.
Turn an exchange rate around. The units reverse; the percentage change does not simply change sign.
HYPOTHETICAL / NOT LIVE DATA
A / B change
+10.00%
Units of B per one A
B / A change
−9.09%
Units of A per one B
The reciprocal moves from 0.010000 to 0.009091. The percentage changes are not symmetric.
Reverse the units before doing the arithmetic
The inverse quote is 1 divided by the original rate. A move from 100 to 110 is +10%. Its inverse moves from 0.01 to approximately 0.009091, a decline of approximately 9.09%. The denominator changes when you reverse the comparison.
A midpoint illustration
This is a mathematical quote with no spread, fees or execution delay. An actual buy and sell quote has two sides; you cannot invert only the number and ignore those sides. Read the RBA’s explanation of exchange-rate measurement for the underlying conventions.